Home / 1,214.09-1,821.25-520.60

Finding the Fourth Proportional to 1,214.09, 1,821.25 and 520.60

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Solution

The fourth proportional to 1,214.09, 1,821.25 and 520.60 is: 780.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.09 : 1,821.25 = 520.60 : x
  2. Step 2: Convert to fraction form
    1,214.09/1,821.25 = 520.60/x
  3. Step 3: Cross multiply
    1,214.09x = 1,821.25 × 520.60
  4. Step 4: Simplify right side
    1,214.09x = 948,139.33
  5. Step 5: Solve for x
    x = 948,139.33/1,214.09
  6. Step 6: Final answer
    x = 780.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.